Find the value of J/2(x)

Q: 10 -34 Evaluate the integral and check your an= iating.

A: Given integral is ∫ 10y34 - y3 +4y dy   Note:- 1ya =y-a   and y =y12

Q: Hin Find Fourier trins form of fu) =/! Ixa ! sinp Then find: O :oS Ein Pa Cos px_dp , ☺ dp

A: We have to solve the given problem by Fourier transform.

Q: d. Find the multiplicative inverse of 5. e. Explain why division is not well-defined in Z, .

A: We will apply multiplication modulo 12 to find multiplicative inverse of 5.

Q: Show that if (aib- 2 for all a,b EG draip (G,)is abelian if and od

A: To show: A group G,∘ is abelian if and only if a∘b2=a2∘b2 for all a,b∈G.  

Q: y =- Inx; x?y" + xy' – y = lnx %3D х

A: A differential equation contains independent variables, dependent variables, and the differential co...

Q: Determine whether the given function is a solution to the differential equation and find the particu...

A: The general form of a second-order linear homogenous differential equation is given by ay''+by'+c=0,...

Q: The curve C, is an arc of the unit circle centered at the origin. Show that: (a) The scalar curl of ...

A:

Q: x 1. Suppose you invest $404 in a pqr stock at the beginning of the trading day yesterday. The stock...

A: (A) To determine the money have in the pqr stock. (B) To determine the amount of money in the accoun...

Q: An ingot of mass 1,148 kg contains copper, tin, and lead in the ratio 9:4:1. Calculate the value of ...

A:

Q: A group G has come to talk to you. You find out that G has 100 = 22 x 52 elements and that G has exa...

A:

Q: If X is a binomial random variable, compute the probabilities below: (a) X - Binom(8,0.4) P(X 3) %3...

A: Disclaimer: Since you have posted a question with multiple sub-parts, we will solve the first three ...

Q: Find the sloution of the given DE dy Y – x y(0) = 1, h = 0.1 at x = 0.5 %3D dx y + x Yexact = ? (fin...

A: The differential equation is dydx=y-xy+x We put y=vx Then, dydx=v+xdvdx

Q: Prove that any positive integer greater than or equal to 8 can be written as a sum of 3's and 5's. (...

A:

Q: show that vectors Centywhere en I's the sequence whose nth term i's 1 and all o ther terms are Zero ...

A: Given: The vectors en where en is the sequence whose nth term is 1 and all other terms are zero.   T...

Q: If x and y are real numbers and x>1, prove that there exists a positive integer n such that xn > y

A:

Q: cise 1.10. (a). Let V = R² = {(x,y)| x,y 2 0} with usual addition and scalar multiplication. Is it a...

A: Multiple:   Let , V = ℝ2 = x , y | x , y ≥ 0. We need to show that , V is a vector space or not. We ...

Q: dy > at dx 4. Consider the following system of two ODES: = 2x + 2y, = 2x – y dt from t = 0 to t = 1....

A:

Q: power expansion of (e^x)/1-x

A: Given f(x) = ex1 - x

Q: let (x, m) be a measurable space. then ¥8:% [, o] are measural ble funetion, then ) I +9 is mea sarb...

A:

Q: [et Suppose A(t) =0 0. cos t sin t, show that A(t)-1 exists and then find it. - sin t Co t. -

A: Given- At = et000cos tsin t0-sin tcos t To Show- Show that At-1 exists and then find it.

Q: Define f : [0, 0) →R by f(x) = x. Find a function g: R → R such that gof is one-to-one, but g is not...

A:

Q: Determine the convergence of each of the following integrals by comparison with the given integral. ...

A:

Q: 4 Find the dot product of [6 -2 3] -1 and 2

A:

Q: di L- + Ri = E dt i(0) = io L, R, E and io are constants.

A:

Q: onsider the transportation problem given below.   Destinations   Source 1 2 3 Supplies 1 9...

A: given data source  1 2 3 supplies 1 9 6 4 5 2 4 10 2 6 3 15 7 10 5 demands 9 3 4 16 a)...

Q: 4) If x and y vary inversely, and x = -3 when y = 1/3, what is y when x = 9?

A: If x varies inversely with y yα1x y=k1x put x=-3  y=k13-------(1) from our given y=-13------(2) comp...

Q: A card is drawn from an ordinary deck. Match the following with th 10 2 3 5 6 9 10

A: Introduction: When we are uncertain about the outcome of an event, we can discuss the probabilities ...

Q: 105.5a – 2|3– 2(4a+3)] 106.6+3[2x– 4(3x– )]

A: 105. Given expression: 5a-23-24a+3 Now we shall simplify the given expression: 5a-23-24a+3=5a-23-8a-...

Q: Solve the following LPP problems using Simplex Method: 4. Max Z = X1 - 3 X2 + 2x3 Subject to 3x1 - X...

A:

Q: 8. The statistical measure that indicates how measured data vary from the given mean value of that d...

A:

Q: The most frequently occurring statistic * .measurement is the arithmetic mean True False O O

A:

Q: 3. Use Simpson's rule to estimate f(x)dx from the following data -2.5 0.5 1.0 1.5 2.0 2.5 f(x) 1.500...

A:

Q: 2. What is the number of k-digit strings one can form over an n-element alphabet if (a) there are no...

A:

Q: Fred is considering three job offers in advertising. A full-time position as a coordinator that pay...

A:

Q: The autonomous DE: dy +5=y-4 dx has an unstable critical point at y =4. Select one: True O False

A:

Q: A person starts walking from home and walks: 4 miles East 3 miles Southeast 3 miles South 4 miles So...

A:

Q: O Let (R, +) is aring. and f:R>R defind as XER Show that f is isomorphi'sM and is said tobe identity...

A:

Q: b) Let at time t years, an industry consumes fuel at the rate of (2t + 9) million barrels per year. ...

A: Given an industry consumes fuel at the rate of 2t+912 million barrels per year. If the total supply ...

Q: az – br (3) dt is given by z(t) z(0) (4) a – br(t) a- br(0) From Equations (3) and (4) show that (a)...

A: Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts(pr...

Q: 1. Find the values of constants in the equation below As + B + - Ms + N 2.

A: Introduction: When a rational expression is divided into the sum of two or more rational expressions...

Q: 5. prove that S"erf cx) dx =0

A:

Q: A box contains one yellow, two red, and three green balls. Two balls are randomly chosen without rep...

A:

Q: find the value in terme of x} Z in Boolkan

A: The given problem is to express the given boolean expression in terms of x and z. Given boolean expr...

Q: e-(2²+y²) dy dx x=-00 Jy=0

A: To evaluate the below integral. ∫x=−∞∞∫y=0∞e−x2+y2dydx

Q: If x and y are two positive real numbers, then there exists a positive integer n such that ny>x

A:

Q: If in an AP the sum of m terms is equal to n and the sum of n terms is equal to m .then prove that t...

A: Let us consider the AP a, a+d, a+2d, a+3d,...... The nth term is obtained as  an=a+(n-1)d The sum of...

Q: A market survey was conducted in four cities in Zambia in order to find out the preference for brand...

A:

Q: Question. Let f:[0,1] → R be a function such that f (x) = x³. Prove that f is R-integrable and deter...

A: Let , f : 0 , 1 → ℝ be a function such that ,  f(x) = x3 We need to show that , f is Riemann integra...

Q: Disprove the following statements using counterexample. Explain your answers. 1. x| > 0 4. x² >x 2. ...

A:

Q: 3.) Prove: Given an integer n, show that a. If n is even, then n - 1 is odd. b. If n - 1 is odd, the...

A: Given  we have given that n is an integer  then we have to prove (a)  if n is even then n-1 is odd i...